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Simplifying 5(x + -9) + 26 = -3(-2x + 5) + -6 Reorder the terms: 5(-9 + x) + 26 = -3(-2x + 5) + -6 (-9 * 5 + x * 5) + 26 = -3(-2x + 5) + -6 (-45 + 5x) + 26 = -3(-2x + 5) + -6 Reorder the terms: -45 + 26 + 5x = -3(-2x + 5) + -6 Combine like terms: -45 + 26 = -19 -19 + 5x = -3(-2x + 5) + -6 Reorder the terms: -19 + 5x = -3(5 + -2x) + -6 -19 + 5x = (5 * -3 + -2x * -3) + -6 -19 + 5x = (-15 + 6x) + -6 Reorder the terms: -19 + 5x = -15 + -6 + 6x Combine like terms: -15 + -6 = -21 -19 + 5x = -21 + 6x Solving -19 + 5x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -19 + 5x + -6x = -21 + 6x + -6x Combine like terms: 5x + -6x = -1x -19 + -1x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 + -1x = -21 + 0 -19 + -1x = -21 Add '19' to each side of the equation. -19 + 19 + -1x = -21 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = -21 + 19 -1x = -21 + 19 Combine like terms: -21 + 19 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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